What is the Greatest Common Factor of 33433 and 33448?

Greatest common factor (GCF) of 33433 and 33448 is 1.

GCF(33433,33448) = 1

We will now calculate the prime factors of 33433 and 33448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33433 and 33448.

How to find the GCF of 33433 and 33448?

We will first find the prime factorization of 33433 and 33448. After we will calculate the factors of 33433 and 33448 and find the biggest common factor number .

Step-1: Prime Factorization of 33433

Prime factors of 33433 are 67, 499. Prime factorization of 33433 in exponential form is:

33433 = 67¹ × 499¹

Step-2: Prime Factorization of 33448

Prime factors of 33448 are 2, 37, 113. Prime factorization of 33448 in exponential form is:

33448 = 2³ × 37¹ × 113¹

Step-3: Factors of 33433

List of positive integer factors of 33433 that divides 33433 without a remainder.

1, 67, 499

Step-4: Factors of 33448

List of positive integer factors of 33448 that divides 33433 without a remainder.

1, 2, 4, 8, 37, 74, 113, 148, 226, 296, 452, 904, 4181, 8362, 16724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33433 and 33448. The biggest common factor number is the GCF number.
So the greatest common factor 33433 and 33448 is 1.

Also check out the Least Common Multiple of 33433 and 33448